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Finding the Third Proportional to 309,218 and 671,312

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Solution

The third proportional to 309,218 and 671,312 is: 1,457,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,218 : 671,312 = 671,312 : x
  2. Step 2: Convert to fraction form
    309,218/671,312 = 671,312/x
  3. Step 3: Cross multiply
    309,218x = 671,312 × 671,312
  4. Step 4: Simplify right side
    309,218x = 450,659,801,344
  5. Step 5: Solve for x
    x = 450,659,801,344/309,218
  6. Step 6: Final answer
    x = 1,457,417.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.